Finite Group Databasebeta

← Group #10840202

Character table — Group #10840202

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444444444444888888888888888888888888121212121616161616162424242424242424242424242424
order122222223444466666664444444412121212121212124488881212121212121212121224242424242424244444441212121222444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111
χ911111111111111111111-1-11111-1-1111-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-11-11111-1-1-1-111-1-1
χ1011111111111111111111-1-11111-1-1111-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-111-1-1-11-1-1-1-11111-1-111
χ1111111111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-1-1111-1-1-111-1-111-1-111
χ1211111111111111111111-1-11111-1-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-111-1111-1-111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-1111-1-1-1-1-1111111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-111111-1-1-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-11-111-1-111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-111-1-1-11-1-111-1-11111-1-1
χ17222222222-2-2-2-22222222220000-2-2-2-2-2-2-2-2-2-200000022000000000000000022-2-2000000-22000000000000
χ18222222222-2-2-2-22222222220000-2-2-2-2-2-2-2-2-2-2000000220000000000000000-2-2220000002-2000000000000
χ19222222222-2-2-2-22222222-2-2000022-2-2-22222-2000000-2-200000000000000002222000000-2-2000000000000
χ20222222222-2-2-2-22222222-2-2000022-2-2-22222-2000000-2-20000000000000000-2-2-2-200000022000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000-2-2111100000000000000
χ2322222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-2-22222-1-111111111-1-1-1-1-1-1-1-10000-2-2111100000000000000
χ2422222222-12222-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-11111111111111111000022-1-1-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-22222-2-2-1-1-11111-1-2-222-2-211-1-1-1-11111-1-1-1-1111100002-2-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-22222-2-2-1-1-11111-1-2-2-2-22211-1-1-1-111111111-1-1-1-10000-2211-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-11111-12222-2-2111111-1-1-1-1-1-1-1-111110000-2211-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-11111-122-2-222111111-1-1-1-11111-1-1-1-100002-2-1-11100000000000000
χ2922-2-2-22-22222-2-2-2222-2-2-22-22i2i−2i−2i2-22-2-222-2-222i−2i00002-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ3022-2-2-22-22222-2-2-2222-2-2-22-2−2i−2i2i2i2-22-2-222-2-22−2i2i00002-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3122-2-2-22-22222-2-2-2222-2-2-2-222i2i−2i−2i-222-2-2-2-2222−2i2i0000-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3222-2-2-22-22222-2-2-2222-2-2-2-22−2i−2i2i2i-222-2-2-2-22222i−2i0000-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ3322-2-2-22-222-2-222-2222-2-2-22-20000-22-222-2-222-20000002-20000000000000000000000000000002i−2i2i−2i000000
χ3422-2-2-22-222-2-222-2222-2-2-22-20000-22-222-2-222-20000002-2000000000000000000000000000000−2i2i−2i2i000000
χ3522-2-2-22-222-2-222-2222-2-2-2-2200002-2-22222-2-2-2000000-220000000000000000000000000000002i−2i−2i2i000000
χ3622-2-2-22-222-2-222-2222-2-2-2-2200002-2-22222-2-2-2000000-22000000000000000000000000000000−2i2i2i−2i000000
χ3722-2-2-22-22-122-2-21-1-1-11112-22i2i−2i−2i2-2-111-1-111-12i−2i0000-11−i−iii−i−iii−i3−i3i3i3−i3−i3i3i30000003−33−300000000000000
χ3822-2-2-22-22-122-2-21-1-1-11112-22i2i−2i−2i2-2-111-1-111-12i−2i0000-11−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3000000−33−3300000000000000
χ3922-2-2-22-22-122-2-21-1-1-11112-2−2i−2i2i2i2-2-111-1-111-1−2i2i0000-11ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3000000−33−3300000000000000
χ4022-2-2-22-22-122-2-21-1-1-11112-2−2i−2i2i2i2-2-111-1-111-1−2i2i0000-11ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i30000003−33−300000000000000
χ4122-2-2-22-22-122-2-21-1-1-1111-222i2i−2i−2i-22-11111-1-1-1−2i2i00001-1−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000003−3−3300000000000000
χ4222-2-2-22-22-122-2-21-1-1-1111-222i2i−2i−2i-22-11111-1-1-1−2i2i00001-1−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3000000−333−300000000000000
χ4322-2-2-22-22-122-2-21-1-1-1111-22−2i−2i2i2i-22-11111-1-1-12i−2i00001-1ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3000000−333−300000000000000
χ4422-2-2-22-22-122-2-21-1-1-1111-22−2i−2i2i2i-22-11111-1-1-12i−2i00001-1ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000003−3−3300000000000000
χ452-22-22-2-2222-22-2-22-2-22-22002i−2i2i−2i0022-20000-2000000002i−2i2i−2i0000000000000000000000000000002-2002i−2i
χ462-22-22-2-2222-22-2-22-2-22-22002i−2i2i−2i0022-20000-2000000002i−2i2i−2i000000000000000000000000000000-2200−2i2i
χ472-22-22-2-2222-22-2-22-2-22-2200−2i2i−2i2i0022-20000-200000000−2i2i−2i2i0000000000000000000000000000002-200−2i2i
χ482-22-22-2-2222-22-2-22-2-22-2200−2i2i−2i2i0022-20000-200000000−2i2i−2i2i000000000000000000000000000000-22002i−2i
χ492-2-22-2-22222-2-2222-2-2-22-2002-2-22002-220000-2000000002-2-220000000000000000000000002i−2i0000002i−2i00
χ502-2-22-2-22222-2-2222-2-2-22-2002-2-22002-220000-2000000002-2-22000000000000000000000000−2i2i000000−2i2i00
χ512-2-22-2-22222-2-2222-2-2-22-200-222-2002-220000-200000000-222-20000000000000000000000002i−2i000000−2i2i00
χ522-2-22-2-22222-2-2222-2-2-22-200-222-2002-220000-200000000-222-2000000000000000000000000−2i2i0000002i−2i00
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-2440000-4-422222222000000-2-20000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-4000044222-2-2-2-22000000220000000000000000000000000000000000000000
χ554444-4-4-4-440000-4-44-444-400000000000000000022−2200000000000022−2222−220000000000000000000000000000
χ564444-4-4-4-440000-4-44-444-4000000000000000000−2222000000000000−2222−22220000000000000000000000000000
χ574444-4-4-4-4-2000022-22-2-220000000000023−2323−2300022−22000000000000−22−226−66−6000000000000000000000000
χ584444-4-4-4-4-2000022-22-2-220000000000023−2323−23000−22220000000000002−22−2−66−66000000000000000000000000
χ594444-4-4-4-4-2000022-22-2-2200000000000−2323−232300022−22000000000000−22−22−66−66000000000000000000000000
χ604444-4-4-4-4-2000022-22-2-2200000000000−2323−2323000−22220000000000002−22−26−66−6000000000000000000000000
χ6144-4-44-44-4400004-44-4-4-4400000000000000000000−2i22i200000000000000−2i22i22i2−2i2000000000000000000000000
χ6244-4-44-44-4400004-44-4-4-44000000000000000000002i2−2i2000000000000002i2−2i2−2i22i2000000000000000000000000
χ6344-4-44-44-4-20000-22-2222-20000000000023−23−232300000−2i22i20000000000i6−i6−i6i6i2−i2−i2i2000000000000000000000000
χ6444-4-44-44-4-20000-22-2222-20000000000023−23−2323000002i2−2i20000000000−i6i6i6−i6−i2i2i2−i2000000000000000000000000
χ6544-4-44-44-4-20000-22-2222-200000000000−232323−2300000−2i22i20000000000−i6i6i6−i6i2−i2−i2i2000000000000000000000000
χ6644-4-44-44-4-20000-22-2222-200000000000−232323−23000002i2−2i20000000000i6−i6−i6i6−i2i2i2−i2000000000000000000000000
χ6744-4-4-44-44-2-4-4442-2-2-22224-40000-442-2-222-2-22000000-220000000000000000000000000000000000000000
χ6844-4-4-44-44-2-4-4442-2-2-2222-4400004-42-2-2-2-22220000002-20000000000000000000000000000000000000000
χ694-44-44-4-444-44-44-44-4-44-4400000000-4-4400004000000000000000000000000000000000000000000000000
χ704-44-44-4-44-24-44-42-222-22-2004i−4i4i−4i00-2-220000200000000−2i2i−2i2i000000000000000000000000000000000000
χ714-44-44-4-44-24-44-42-222-22-200−4i4i−4i4i00-2-2200002000000002i−2i2i−2i000000000000000000000000000000000000
χ724-44-44-4-44-2-44-442-222-22-20000000022-20000-2000000000000−2i32i3−2i32i300000000000000000000000000000000
χ734-44-44-4-44-2-44-442-222-22-20000000022-20000-20000000000002i3−2i32i3−2i300000000000000000000000000000000
χ744-44-4-444-4400004-4-444-4-40000000000000000000000000000000000000000004i−4i00000000000000000000
χ754-44-4-444-4400004-4-444-4-4000000000000000000000000000000000000000000−4i4i00000000000000000000
χ764-4-4444-4-440000-4-4-44-44400000000000000000000000000000000000000004i−4i0000000000000000000000
χ774-4-4444-4-440000-4-4-44-4440000000000000000000000000000000000000000−4i4i0000000000000000000000
χ784-4-44-4-4444-444-444-4-4-44-400000000-44-400004000000000000000000000000000000000000000000000000
χ794-4-44-4-444-24-4-44-2-2222-22004-4-4400-22-20000200000000-222-2000000000000000000000000000000000000
χ804-4-44-4-444-24-4-44-2-2222-2200-444-400-22-200002000000002-2-22000000000000000000000000000000000000
χ814-4-44-4-444-2-444-4-2-2222-22000000002-220000-200000000000023−23−232300000000000000000000000000000000
χ824-4-44-4-444-2-444-4-2-2222-22000000002-220000-2000000000000−232323−2300000000000000000000000000000000
χ838-88-8-888-8-40000-444-4-4440000000000000000000000000000000000000000000000000000000000000000
χ848-8-8888-8-8-40000444-44-4-40000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).